Exceptional modular form of weight 4 on an exceptional domain contained in \(\mathbb{C}^{27}\)

DOI10.4171/RMI/134zbMath0777.11015MaRDI QIDQ2367316

Henry H. Kim

Publication date: 8 August 1993

Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/39837

zbMATH Keywords

Fourier expansionEisenstein seriesexceptional domaintheta seriesHermitian symmetric spacesingular automorphic forms

Mathematics Subject Classification ID

Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects) (32M15) Other groups and their modular and automorphic forms (several variables) (11F55)

Related Items (13)

THE MINIMAL MODULAR FORM ON QUATERNIONIC ⋮ Selberg zeta function on an exceptional domain ⋮ Modular forms on indefinite orthogonal groups of rank three ⋮ Period of the Ikeda type lift for the exceptional group of type \(E_{7,3}\) ⋮ Higher level cusp forms on exceptional group of type \(E_7\) ⋮ Twisted Koecher-Maass series of the Ikeda type lift for the exceptional group of type \(E_{7,3}\) ⋮ A Miyawaki type lift for \(\mathrm{GSpin}(2,10)\) ⋮ Theta functions on tube domains ⋮ The singular modular forms on the 27-dimensional exceptional domain ⋮ Multiplier systems for the modular group on the 27-dimensional exceptional domain ⋮ Cusp forms on the exceptional group of type ⋮ Eisenstein Series Arising from Jordan Algebras ⋮ An arithmetic property of Fourier coefficients of singular modular forms on the exceptional domain

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